English

The boundary of the complex of free factors

Group Theory 2015-11-03 v2 Geometric Topology

Abstract

We give a description of the boundary of a complex of free factors that is analogous to E. Klarreich's description of the boundary of a curve complex. The argument uses the geometry of folding paths developed by Bestvina and Feighn as well as structural results about very small trees developed by Coulbois, Hilion, Lustig, and Reynolds.

Keywords

Cite

@article{arxiv.1211.3608,
  title  = {The boundary of the complex of free factors},
  author = {Mladen Bestvina and Patrick Reynolds},
  journal= {arXiv preprint arXiv:1211.3608},
  year   = {2015}
}

Comments

34 pages. minor updates for submission